Question

solve the equation.
y + 6 = -3y + 26
○ y = -8
○ y = -5
○ y = 5
○ y = 8

Explanation:

Step1: Add 3y to both sides

To get all the y terms on one side, we add 3y to both sides of the equation \( y + 6 = -3y + 26 \). This gives us \( y + 3y + 6 = -3y + 3y + 26 \), which simplifies to \( 4y + 6 = 26 \).

Step2: Subtract 6 from both sides

Next, we want to isolate the term with y. So we subtract 6 from both sides: \( 4y + 6 - 6 = 26 - 6 \), which simplifies to \( 4y = 20 \).

Step3: Divide both sides by 4

To solve for y, we divide both sides by 4: \( \frac{4y}{4} = \frac{20}{4} \), which gives us \( y = 5 \).

Answer:

\( y = 5 \) (corresponding to the option "y = 5")